Least Common Multiple of 155, 180, 45
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 155, 180, 45 i.e. 5580 smallest integer divisible by all numbers.
Least common multiple (LCM) of 155, 180, 45 is 5580.
LCM(155, 180, 45) = 5580
LCM of 155, 180, 45
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 155, 180, 45 by common division method
- Least Common Multiple of 155, 180, 45 with GCF Formula
Least Common Multiple (LCM) of 155,180,45 is 5580
| 3 | 155, 180, 45 |
| 3 | 155, 60, 15 |
| 5 | 155, 20, 5 |
| 31, 4, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 31 x 4 x 1 = 5580
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 155,180,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,180,45) = 5
common factors(in case of two or more numbers have common factors) = 45
GCF(155,180,45) x common factors =5 x 45 = 225
LCM(155,180,45) = ( 155 × 180 × 45 ) / 225
LCM(155,180,45) = 1255500 / 225
LCM(155,180,45) = 5580
∴ Least Common Multiple of 155,180,45 is 5580
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 155, 180, 45
1. What is the LCM of 155, 180, 45?
Answer: LCM of 155, 180, 45 is 5580.
2. What are the Factors of 5580?
Answer: Factors of 5580 are . There are integers that are factors of 5580
3. How to Find the LCM of 155, 180, 45 ?
Least Common Multiple of 155, 180, 45.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(155, 180, 45) = 2 x 2 x 3 x 3 x 5 x 31 = 5580.